The complex of partial bases of a free group
Algebraic Topology
2020-01-08 v1
Abstract
We prove that the simplicial complex whose simplices are the nonempty partial bases of is homotopy equivalent to a wedge of -spheres. Moreover, we show that it is Cohen-Macaulay.
Keywords
Cite
@article{arxiv.1711.09954,
title = {The complex of partial bases of a free group},
author = {Iván Sadofschi Costa},
journal= {arXiv preprint arXiv:1711.09954},
year = {2020}
}